A kagome lattice, composed of interlaced triangles whose lattice
points each have four neighboring points [1]}, becomes popular in the magnetic
community because the unusual magnetic properties of many real magnetic
materials are associated with those characteristic of the kagome lattice [2]}.
The schematic figure of kagome lattice is shown in Fig. REF .
In this paper we also apply the PHE theory to the kagome lattice to investigate
whether the mechanism of the phase transition found in Ref. [3]} is general
and how the phonon Hall conductivity, Chern numbers and the dispersion relation
behave and relate to each other.
